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Finding the Fourth Proportional to 255,973.30, 353,313.41 and 148,577.93

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Solution

The fourth proportional to 255,973.30, 353,313.41 and 148,577.93 is: 205,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,973.30 : 353,313.41 = 148,577.93 : x
  2. Step 2: Convert to fraction form
    255,973.30/353,313.41 = 148,577.93/x
  3. Step 3: Cross multiply
    255,973.30x = 353,313.41 × 148,577.93
  4. Step 4: Simplify right side
    255,973.30x = 52,494,574,750.26
  5. Step 5: Solve for x
    x = 52,494,574,750.26/255,973.30
  6. Step 6: Final answer
    x = 205,078.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.